Trapping of null geodesics in slowly rotating extremely compact Tolman VII spacetimes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F21%3AA0000133" target="_blank" >RIV/47813059:19630/21:A0000133 - isvavai.cz</a>

Result on the web

<a href="https://epjplus.epj.org/articles/epjplus/abs/2021/09/13360_2021_Article_1890/13360_2021_Article_1890.html" target="_blank" >https://epjplus.epj.org/articles/epjplus/abs/2021/09/13360_2021_Article_1890/13360_2021_Article_1890.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/s13360-021-01890-2" target="_blank" >10.1140/epjp/s13360-021-01890-2</a>

Result language

angličtina

Original language name

Trapping of null geodesics in slowly rotating extremely compact Tolman VII spacetimes

Original language description

Region of trapped null geodesics hidden inside of extremely compact objects is of astrophysical importance because of trapping of gravitational waves, or neutrinos. The trapping effect of null geodesics was extensively studied for spherically symmetric extremely compact objects. Recently, influence of rotation of the extremely compact objects on the trapping of null geodesics was treated in the simplest possible model of internal linearized Hartle-Thorne spacetime with uniform energy density distribution and uniform emissivity distribution of null geodesics. Here, we extend the study of the rotation influence on the trapping effect in the case of linearized Hartle-Thorne spacetimes based on the Tolman VII spherically symmetric solutions, where we assume the emissivity of the null geodesics proportional to the energy density of the Tolman VII object having quadratic radial profile. We demonstrate enhancement (suppression) of the trapping effect in the case of counter-rotating (co-rotating) null geodesics due to the behavior of the effective potentials and escape cones of the null geodesics in the linearized Hartle-Thorne-Tolman VII spacetimes. In dependence on the parameters of these spacetimes, we determine the "local" and "global" coefficients of efficiency of the trapping and compare the results to those related to the rotating spacetimes based on the internal Schwarzschild spacetimes. We demonstrate that in the Tolman VII spacetimes the trapping is more efficient, being allowed in objects with radii larger than those of the trapping internal Schwarzschild spacetimes, occurring even for R &gt; 3.3 M.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

<a href="/en/project/LTC18058" target="_blank" >LTC18058: Neutron stars and pulsars</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Physical Journal Plus

ISSN

2190-5444

e-ISSN

—

Volume of the periodical

136

Issue of the periodical within the volume

9

Country of publishing house

DE - GERMANY

Number of pages

34

Pages from-to

„977-1“-„977-34“

UT code for WoS article

000701060200003

EID of the result in the Scopus database

2-s2.0-85115750918